𝔖 Bobbio Scriptorium
✦   LIBER   ✦

An explicit Numerov-type method for second-order differential equations with oscillating solutions

✍ Scribed by Hans Van de Vyver

Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
598 KB
Volume
53
Category
Article
ISSN
0898-1221

No coin nor oath required. For personal study only.

✦ Synopsis

In this paper a new explicit Numerov-type method is introduced. The construction is based on a modification of a sixth-order explicit Numerov-type method recently developed by Tsitouras [Ch. Tsitouras, Explicit Numerov type methods with reduced number of stages, Comput. Math. Appl. 45 (2003) 37-42]. Two free parameters are added in order to nullify the phase-lag and the amplification. The method is useful only when a good estimate of the frequency of the problem is known in advance. The parameters depend on the product of the estimated frequency and the stepsize. Numerical results obtained for well-known test problems show the efficiency of the new method.

πŸ“œ SIMILAR VOLUMES

Explicit bounds for the solutions of sec
Explicit bounds for the solutions of second order linear differential equations
✍ Pedro Almenar; Lucas JΓ³dar πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 742 KB

This paper deals with the construction of explicit bounds for solutions of second order linear differential equations of the type [p(x)y ( The construction is based on the study of the evolution of two complementary functionals involving y(x) in the sequence of zeroes of y(x) and y (x). Based on th